The Total solution for NCERT class 6-12
If the 4th, 10th and 16th termsof a G.P. are x, y and z, respectively. Provethat x, y, z are in G.P.
Let a bethe first term and r be the common ratio of the G.P.
According to the givencondition,
a4 = a r3 = x …(1)
a10 = a r9 = y …(2)
a16 = ar15 = z … (3)
On dividing (2) by(1), we get